A random sample of sizen=300 is selected from a binomial distribution withp=0.6.

(a) Calculate the mean and standard deviation (or standard error) of the sampling distribution ofp. (Round your standard deviation to four decimal places.)

mean _______

standard deviation ______

(b) Find the probability that the sample proportionpis greater than0.63. (Round your answer to four decimal places.)

(c) Find the probability that the sample proportionplies between0.58and0.62. (Round your answer to four decimal places.)